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Finding the Third Proportional to 3,779,136 and 5,738,688

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Solution

The third proportional to 3,779,136 and 5,738,688 is: 8,714,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779,136 : 5,738,688 = 5,738,688 : x
  2. Step 2: Convert to fraction form
    3,779,136/5,738,688 = 5,738,688/x
  3. Step 3: Cross multiply
    3,779,136x = 5,738,688 × 5,738,688
  4. Step 4: Simplify right side
    3,779,136x = 32,932,539,961,344
  5. Step 5: Solve for x
    x = 32,932,539,961,344/3,779,136
  6. Step 6: Final answer
    x = 8,714,304

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.